2012-12-03
Optimization Towards Broadband Cylindrical Cloaks with Layered Magnetic Materials
By
Progress In Electromagnetics Research Letters, Vol. 36, 87-101, 2013
Abstract
Inhomogeneous anisotropic cloaks can be approximated by more realizable homogeneous and isotropic material layers at the expense of their bandwidth and angular dependence. Aiming at applications to a monostatic Radar, we propose a scheme to design broadband cylindrical cloaks with minimized backscattering RCS. The cloak is composed of a few layers of concentric magnetic materials, with optimized parameters using a genetic algorithm (GA). We also examine extensively the parameters in the optimization, including the initial population and the relationship of required discretization with the operation frequency. It has been demonstrated that, through a proper designed optimization, the bandwidth can exceed 80% for non-dispersive cloaks and 4% for dispersive cloaks.
Citation
Wei Song, Rui-Jing Shi, and Xin-Qing Sheng, "Optimization Towards Broadband Cylindrical Cloaks with Layered Magnetic Materials," Progress In Electromagnetics Research Letters, Vol. 36, 87-101, 2013.
doi:10.2528/PIERL12090405
References

1. Pendry, J. B., D. Schurig, and D. R. Smith, "Controlling electromagnetic fields," Science, Vol. 312, 1780-1782, 2006.
doi:10.1126/science.1125907        Google Scholar

2. Leonhardt, U. and T. Tyc, "Broadband invisibility by non-Euclidean cloaking," Science, Vol. 323, 110-112, 2009.
doi:10.1126/science.1166332        Google Scholar

3. Cummer, S. A., B.-I. Popa, D. Schurig, D. R. Smith, and J. B. Pendry, "Full-wave simulation of electromagnetic cloaking structures," Phys. Rev. E, Vol. 74, 036621, 2006.
doi:10.1103/PhysRevE.74.036621        Google Scholar

4. Zhao, Y., C. Argyropoulos, and Y. Hao, "Full-wave finite-difference time-domain simulation of electromagnetic cloaking structures," Opt. Express, Vol. 16, 6717-6730, 2008.
doi:10.1364/OE.16.006717        Google Scholar

5. Schurig, D., J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, "Metamaterial electromagnetic cloak at microwave frequencies," Science, Vol. 314, 977-980, 2006.
doi:10.1126/science.1133628        Google Scholar

6. Cai, W. S., U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, "Optical cloaking with metamaterials," Nat. Photonics, Vol. 1, 224, 2007.
doi:10.1038/nphoton.2007.28        Google Scholar

7. Huang, Y., Y. Feng, and T. Jiang, "Electromagnetic cloaking by layered structure of homogeneous isotropic materials," Opt. Express, Vol. 15, , 11133-11141, 2007.
doi:10.1364/OE.15.011133        Google Scholar

8. Jiang, W. X., J. Y. Chin, Z. Li, Q. Cheng, R. Liu, and T. J. Cui, "Analytical design of conformally invisible cloaks for arbitrarily shaped objects," Phys. Rev. E, Vol. 77, 066607, 2008.
doi:10.1103/PhysRevE.77.066607        Google Scholar

9. Hu, J., X. M. Zhou, and G. K. Hu, "Nonsingular two dimensional cloak of arbitrary shape," Appl. Phys. Lett., Vol. 95, 011107, 2009.
doi:10.1063/1.3168652        Google Scholar

10. Kohn, R. V., H. Shen, M. S. Vogelius, and M. I. Weinstein, "Cloaking via change of variables in electric impedance tomography," Inverse Problems, Vol. 24, 15016, 2008.
doi:10.1088/0266-5611/24/1/015016        Google Scholar

11. Isic, G., R. Gajic, B. Novakovic, Z. V. Popovic, and K. Hingerl, "Radiation and scattering from imperfect cylindrical electromagnetic cloaks," Opt. Express, Vol. 16, 1413-1422, 2008.
doi:10.1364/OE.16.001413        Google Scholar

12. Liu, H. Y., "Virtual reshaping and invisibility in obstacle scattering," Inverse Problems, Vol. 25, 045006, 2009.
doi:10.1088/0266-5611/25/4/045006        Google Scholar

13. Li, J., H. Y. Liu, and H. Sun, "Enhanced approximate cloaking by SH and FSH lining," Inverse Problems, Vol. 28, 075011, 2012.
doi:10.1088/0266-5611/28/7/075011        Google Scholar

14. Liu, H. Y. and T. Zhou, "On approximate electromagnetic cloaking by transformation media," SIAM J. Appl. Math., Vol. 71, 218-241, 2011.
doi:10.1137/10081112X        Google Scholar

15. Song, W. and X.-Q. Sheng, "A cloak scheme insusceptible to the change of material properties," Journal of Electromagnetic Waves and Applications, Vol. 26, No. 2-3, 149-160, 2012.
doi:10.1163/156939312800030758        Google Scholar

16. Song, W., X.-H. Yang, and X.-Q. Sheng, "Scattering characteristics of 2-D imperfect cloaks with layered isotropic materials," IEEE Antennas and Wireless Propagation Letters, Vol. 11, 53-56, 2012.
doi:10.1109/LAWP.2011.2182590        Google Scholar

17. Jiang, W. X., T. J. Cui, X. M. Yang, Q. Cheng, R. Liu, and D. R. Smith, "Invisibility cloak without singularity," Appl. Phys. Lett., Vol. 93, 194102, 2008.
doi:10.1063/1.3026532        Google Scholar

18. Yan, W., M. Yan, and M. Qiu, "Non-magnetic simplified cylindrical cloak with suppressed zeroth order scattering," Appl. Phys. Lett., Vol. 93, 021909, 2008.
doi:10.1063/1.2958344        Google Scholar

19. Popa, B.-I. and S. A. Cummer, "Cloaking with optimized homogeneous anisotropic layers," Phys. Rev. A, Vol. 79, 023806, 2009.
doi:10.1103/PhysRevA.79.023806        Google Scholar

20. Xi, S., H. S. Chen, B. Zhang, B.-I. Wu, and J. A. Kong, "Route to low-scattering cylindrical cloaks with finite permittivity and permeability," Phys. Rev. B, Vol. 79, 155122, 2009.
doi:10.1103/PhysRevB.79.155122        Google Scholar

21. Ivsic, B., T. Komljenovic, and Z. Sipus, "Optimization of uniaxial multilayer cylinders used for invisible cloak realization," IEEE Trans. on Antennas and Propagation, Vol. 58, 3397-340, 2010.
doi:10.1109/TAP.2010.2055789        Google Scholar

22. Ivsic, B., T. Komljenovic, and Z. Sipus, "Performance of uniaxial multilayer cylinders and spheres used for invisible cloak realization," Proceedings of the 5th European Conference on Antennas and Propagation (EUCAP), 1092-1096, 2012.        Google Scholar

23. Yao, H.-Y., C.-W. Qiu, and L.-W. Li, "Scattering characteristics rom conducting cylinder with reconstructing electromagnetic cloaking layers," Asia Pacific Microwave Conference, APMC, 2009.        Google Scholar

24. Qiu, C.-W., L. Hu, X. F. Xu, and Y. J. Feng, "Spherical cloaking with homogeneous isotropic multilayered structures," Phys. Rev. E, Vol. 79, 047602, 2009.
doi:10.1103/PhysRevE.79.047602        Google Scholar

25. Danaeifar, M., M. Kamyab, A. Jafargholi, and M. Veysi, "Bandwidth enhancement of a class of cloaks incorporating metamaterials," Progress In Electromagnetics Research Letters, Vol. 28, 37-44, 2012.
doi:10.2528/PIERL11093005        Google Scholar

26. Martins, T. C. and V. Dmitriev, "Spherical invisibility cloak with minimum number of layers of isotropic materials," Microwave and Optical Technology Lett., Vol. 54, 2217-2220, 2012.
doi:10.1002/mop.27024        Google Scholar

27. Yu, Z. Z., Y. J. Feng, X. F. Xu, J. M. Zhao, and T. Jiang, "Optimized cylindrical invisibility cloak with minimum layers of non-magnetic isotropic materials," J. Phys. D: Appl. Phys., Vol. 44, 185102, 2011.
doi:10.1088/0022-3727/44/18/185102        Google Scholar

28. Peng, L., L. Ran, and N. A. Mortensen, "The scattering of a cylindrical invisibility cloak: Reduced parameters and optimization," J. Phys. D: Appl. Phys., Vol. 44, 135101, 2011.
doi:10.1088/0022-3727/44/13/135101        Google Scholar

29. Chew, W. C., Waves and Fields in Inhomogeneous Media, 2nd Ed., IEEE, 1995.

30. Pendry, J. B., A. Holden, J. D. Robbins, and J. W. Stewart, "Magnetism from conductors and enhanced nonlinear phenomena," IEEE Trans. on Microwave Theory and Tech., Vol. 47, No. 11, 2075-2084, 1999.
doi:10.1109/22.798002        Google Scholar

31. Hrabar, S., L. Benic, and J. Bartolic, "Simple experimental determinationof complex permittivity or complex permeability of SNG metamaterials," Proc. 36th Eur. Microwave Conf., 1395-1398, Manchester, UK, 2006.        Google Scholar

32. Hrabar, S., N. Engheta, and R. Ziolkowsky, "Waveguide experi-ments to characterize the properties of SNG and DNG metamaterials," Metamaterials: Physics and Engineering Explorations, Ch. 3, Wiley and IEEE, Hoboken/Piscataway, NJ,2006.        Google Scholar

33. Goldman, A., Modern Ferrite Technology, 2nd Ed., Ch. 15, Springer, Pittsburgh, PA, USA, 2006.